Area - math word problems - page 21 of 161
Number of problems found: 3206
- Small tower 2
A small tower has a square floor plan with a side length of 5 m. The tower's roof has the shape of a regular quadrilateral pyramid (without the base) with a height of 8 m. During renovation, the roof will be covered with new tiles. 11 tiles are used per 1 - Pyramid volume base Calculate the volume of a regular quadrilateral pyramid with a square base of side a=8 cm and a height of the pyramid of 11 cm.
- Pipe water radius
5 m³ of water flows through the pipe in 1 second at a maximum speed of 2 m/s. What is the pipe radius? - Cone slope
Determine the volume and surface area of a cone whose slope of length 8 cm makes an angle of 75 degrees with the plane of the base. - Sugarcane harvest yield
3.6 tons of sugarcane were harvested on the experimental plot of 0.2 ha. How many tons of sugarcane can be harvested on a plot of land of 18.6 hectares with the same yield per hectare? - Landing pad width
There is a 30 cm layer of sand in the landing area. Determine the width of the landing pad if its length is 5 m and the volume of sand in it is 2.7 m³. - Carpet floor uncovered
In a rectangular room with dimensions of 3.5 m and 4 m, a square carpet with a side of 3 m is laid on the floor. How many m² of the floor is not covered by carpet? - Floor laying cost How much will we pay for laying a wooden floor in the living room of an apartment with dimensions of 40 dm and 50 dm if 1 square meter of wooden floor costs 12.4 euros?
- Triangle Euclid parameters
Using Euclid's Theorems and Pythagoras' Theorem, complete the following parameters describing a right-angled triangle ABC with a right angle at vertex C if we know b=10, cb=8 - Geometric sequence sum
Determine s5 of the geometric sequence if: a1 + a2 = 10 and a4 - a2 = 120 - Fence paint consumption
Mr. Konečný used 0.9 kg of paint to paint an 8 m long and 1.2 m high fence. a) How many kg must he buy when he will paint a 35 m long fence of the same height? b) How much paint will Mr. Malík need for a fence 1.5 m high and 42 m long. - Triangle tangent area
The tangent of the angle formed by the adjacent sides of the triangle ABC (side a=29 m, b = 40 m) equals 1.05. Calculate the area of that triangle. - Inscribed cube
A cube is inscribed in a sphere with a radius of 27 cm. Calculate its volume and surface area. - Block volume ratio
The block surface is 5.632 m². The lengths of the edges are in the ratio 1: 2 : 3. Calculate the volume of the cuboid. - Square side increase
We increased the side of the square by 12% from the original 15 cm. For a, what was the perimeter and area of the new square? By what percent did the perimeter and area increase? - Prism volume surface
Calculate a prism's volume and surface area with a base of a right triangle with cantilevers of length 40 and 43 cm. The height of the prism is 60 cm. - Block surface ratio The volume of the block is 7,500 dm³. The lengths of the edges are in the ratio 3: 4: 5. Calculate the surface area of the cuboid.
- Cuboid surface ratio The volume of the cuboid is 960 cm³. The lengths of the edges are in the ratio 1 : 3: 5. Calculate the surface area of the cuboid.
- Equation of a circle
Write the general equation of a circle with center S(2;5) and point B(5;6) lying on this circle. - Observatory's dome
In our city, they decided to reconstruct the observatory's dome and cover it with sheet metal. At least how many square meters of sheet metal will they need if the dome is in the shape of a hemisphere with a diameter of 6 m?
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